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Finding the Fourth Proportional to 442,509.60, 663,375.60 and 265,087.20

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Solution

The fourth proportional to 442,509.60, 663,375.60 and 265,087.20 is: 397,397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,509.60 : 663,375.60 = 265,087.20 : x
  2. Step 2: Convert to fraction form
    442,509.60/663,375.60 = 265,087.20/x
  3. Step 3: Cross multiply
    442,509.60x = 663,375.60 × 265,087.20
  4. Step 4: Simplify right side
    442,509.60x = 175,852,380,352.32
  5. Step 5: Solve for x
    x = 175,852,380,352.32/442,509.60
  6. Step 6: Final answer
    x = 397,397.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.